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3 years ago

You asked amusement park visitors the question “How many times did you ride the Ferris wheel today?” as they left the park.

2 answers:

8 0

Draw an xy axis. On the x axis, put "number of times person rode the Ferris wheel" or something along those lines. For the y axis, put "frequency". For x = 5, you'll have four dots stacked on top of each other at this x value. I suggest having a slight gap between each dot so you can tell them apart. The four dots represent the four people who said they rode the Ferris wheel five times

DiKsa [7]3 years ago

3 0

<span> The number line of the dot plot would show the number of times riding a Ferris wheel. Four dots would be placed above the “5” to show the 4 people.</span>

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2 years ago

I'm having a hard time with this question so someone help please

bulgar [2K]

Answer:

7.7 km

Step-by-step explanation:

This question is asking you to find the third side of a triangle in which two sides and an angle not between them are given. The law of sines provides the necessary relationships.

<h3>Law of Sines</h3>

The Law of Sines tells you that triangle side lengths are proportional to the sine of the opposite angle. For this triangle TPJ, the relation is ...

t/sin(T) = p/sin(P) = j/sin(J)

We are given T=68°, p=5.2 km, t=7.5 km, and we are asked to find the length of j, the TP distance.

<h3>Setup</h3>

We know the sum of angles in a triangle is 180°, and the sine of an angle is equal to the sine of its supplement. This lets us fill in the Law of Sines equation like this:

7.5/sin(68°) = 5.2/sin(P) = j/sin(68°+P) . . . . . solve for j

<h3>Solution</h3>

This can be solved in two steps. First, we find angle P, then we use that to find length j.

sin(P) = 5.2/7.5 × sin(68°) ≈ 0.642847

P = arcsin(0.642847) ≈ 40.0045°

Now, we can find j:

j = 7.5 × sin(68° +40.0045°)/sin(68°) ≈ 7.693 . . . km

The distance from the tower to the plane is about 7.7 km.

<em>Additional comment</em>

We have used T, P, and J to refer to the vertices at the tower, plane, and jet.

The triangle can also be solved using the Law of Cosines. In that case, the missing side will be the solution to a quadratic equation with irrational coefficients.

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